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Finding the Fourth Proportional to 178.15, 245.85 and 98.40

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Solution

The fourth proportional to 178.15, 245.85 and 98.40 is: 135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.15 : 245.85 = 98.40 : x
  2. Step 2: Convert to fraction form
    178.15/245.85 = 98.40/x
  3. Step 3: Cross multiply
    178.15x = 245.85 × 98.40
  4. Step 4: Simplify right side
    178.15x = 24,191.64
  5. Step 5: Solve for x
    x = 24,191.64/178.15
  6. Step 6: Final answer
    x = 135.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.